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Finding the Third Proportional to 34,429 and 72,959

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Solution

The third proportional to 34,429 and 72,959 is: 154,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,429 : 72,959 = 72,959 : x
  2. Step 2: Convert to fraction form
    34,429/72,959 = 72,959/x
  3. Step 3: Cross multiply
    34,429x = 72,959 × 72,959
  4. Step 4: Simplify right side
    34,429x = 5,323,015,681
  5. Step 5: Solve for x
    x = 5,323,015,681/34,429
  6. Step 6: Final answer
    x = 154,608.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.